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1057598487441 = 321201577916931
BaseRepresentation
bin11110110001111011100…
…10000011101110010001
310202002211212010202022200
433120331302003232101
5114311430203044231
62125504245553413
7136260163550256
oct17307562035621
93662755122280
101057598487441
11378585858031
12150b77715869
137896732a782
143928bda542d
151c79d244be6
hexf63dc83b91

1057598487441 has 24 divisors (see below), whose sum is σ = 1529269116960. Its totient is φ = 704315088000.

The previous prime is 1057598487311. The next prime is 1057598487467. The reversal of 1057598487441 is 1447848957501.

1057598487441 is a `hidden beast` number, since 10 + 57 + 5 + 98 + 48 + 7 + 441 = 666.

It is not a de Polignac number, because 1057598487441 - 217 = 1057598356369 is a prime.

It is a super-2 number, since 2×10575984874412 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057598487941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62456746 + ... + 62473676.

It is an arithmetic number, because the mean of its divisors is an integer number (63719546540).

Almost surely, 21057598487441 is an apocalyptic number.

It is an amenable number.

1057598487441 is a deficient number, since it is larger than the sum of its proper divisors (471670629519).

1057598487441 is a wasteful number, since it uses less digits than its factorization.

1057598487441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23917 (or 23914 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 1057598487441 in words is "one trillion, fifty-seven billion, five hundred ninety-eight million, four hundred eighty-seven thousand, four hundred forty-one".

Divisors: 1 3 9 1201 3603 5779 10809 16931 17337 50793 52011 152379 6940579 20334131 20821737 61002393 62465211 97844249 183007179 293532747 880598241 117510943049 352532829147 1057598487441